NandishSS wrote:Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
A. 6
B. 9
C. 9(1/2)
D. 12
E. 13(1/2)
Machine Y produces 3 items in the same time Machine Z produces 2 items.
Implication:
(Y's rate)/(Z's rate) = 3/2.
Rate and time are RECIPROCALS.
Thus:
(Y's time)/(Z's time) = 2/3.
Rephrasing this time ratio, we get:
(Z's time) = (3/2)(Y's time).
Since Y takes 9 minutes to produce a batch, the time for Z to produce a batch = (3/2)(9) = 13.5 minutes.
The correct answer is
E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
